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Simplifying 3n2 + 16n + 13 = 0 Reorder the terms: 13 + 16n + 3n2 = 0 Solving 13 + 16n + 3n2 = 0 Solving for variable 'n'. Factor a trinomial. (13 + 3n)(1 + n) = 0Subproblem 1
Set the factor '(13 + 3n)' equal to zero and attempt to solve: Simplifying 13 + 3n = 0 Solving 13 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3n = 0 + -13 3n = 0 + -13 Combine like terms: 0 + -13 = -13 3n = -13 Divide each side by '3'. n = -4.333333333 Simplifying n = -4.333333333Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {-4.333333333, -1}
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